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Chin. Phys., 2001, Vol. 10(3): 181-185    DOI: 10.1088/1009-1963/10/3/002
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SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS

Jiang Li-yana, Guo Yong-xinb, Yu Yingc
a Department of Electronics and Information Engineering, Dandong Advanced Academy, Dandong 118000, China; b Department of Physics, Liaoning University, Shenyang 110036, China; c School of Science, Shenyang University of Technology, Shenyang 110023, China
Abstract  The dynamical symmetries and adjoint symmetries of nonlinear nonholonomic constrained mechanical systems are analysed in two kinds of geometrical frameworks whose evolution equations are Routh's equations and generalized Chaplygin's equations, respectively. The Lagrangian inverse problem and the interrelation between Noether's symmetries and dynamical symmetries are briefly concerned with. Finally an illustrative example is analysed.
Keywords:  adjoint symmetries      Noether symmetries      nonholonomic constraints      dynamical symmetries  
Received:  21 September 2000      Revised:  21 November 2000      Published:  12 June 2005
PACS:  11.30.Na (Nonlinear and dynamical symmetries (spectrum-generating symmetries))  
  02.30.Zz (Inverse problems)  
Fund: Supported by the Natural Science Foundation of Liaoning Province of China and the Science Research Foundation of Provincial Education Committee of Liaoning, China (Grant No.990111004, 20021004).

Cite this article: 

Jiang Li-yan, Guo Yong-xin, Yu Ying SYMMETRIES OF MECHANICAL SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS 2001 Chin. Phys. 10 181

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